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Entropy 2017, 19(4), 151; doi:10.3390/e19040151

A Combined Entropy/Phase-Field Approach to Gravity

MICRESS group, ACCESS e.V., Intzestr.5, D-52072 Aachen, Germany
Academic Editor: Remo Garattini
Received: 9 March 2017 / Revised: 28 March 2017 / Accepted: 29 March 2017 / Published: 31 March 2017
(This article belongs to the Section Astrophysics and Cosmology)
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Abstract

Terms related to gradients of scalar fields are introduced as scalar products into the formulation of entropy. A Lagrange density is then formulated by adding constraints based on known conservation laws. Applying the Lagrange formalism to the resulting Lagrange density leads to the Poisson equation of gravitation and also includes terms which are related to the curvature of space. The formalism further leads to terms possibly explaining nonlinear extensions known from modified Newtonian dynamics approaches. The article concludes with a short discussion of the presented methodology and provides an outlook on other phenomena which might be dealt with using this new approach. View Full-Text
Keywords: entropic gravity; Lagrange formalism; phase-field models; gradient-entropy; constraints; maximum entropy principle; curvature of space; conservation laws; modified Newtonian dynamics; MOND entropic gravity; Lagrange formalism; phase-field models; gradient-entropy; constraints; maximum entropy principle; curvature of space; conservation laws; modified Newtonian dynamics; MOND
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Schmitz, G.J. A Combined Entropy/Phase-Field Approach to Gravity. Entropy 2017, 19, 151.

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